Math 3B/2 - Winter 2012

Location: FRANZ 1178
Lectures: MWF 10:00-10:50
Text: Calculus for Biology and Medicine, Third Edition. C. Neuhauser.
Course Homepage: http://www.math.ucla.edu/~aduncan/3b.2.12w/

Instructor: Alexander Duncan
Office: MS 6236
Office Hours: M9:00-9:50, M11:00-11:50, W9:00-9:50

Teaching Assistant: William Chen
Office: MS 3969
Office Hours: W2:00-3:00
Section 2a: MS 5118
T10:00-10:50
Section 2b: MS 5118
R10:00-10:50

Teaching Assistant: Erik Walsberg
Office: MS 6153
Office Hours: T2:30-3:30
Section 2c: GEOLOGY 4660
T10:00-10:50
Section 2d: BOELTER 5272
R10:00-10:50

Teaching Assistant: Siddharth Bhaskar
Office: MS 2903
Office Hours: R1:00-2:00
Section 2e: MS 6201
T10:00-10:50
Section 2f: MS 6201
R10:00-10:50

Course Content

This is a course in integral calculus, differential equations, and multivariable differential calculus. The prerequisite course is Math 3A.


We will be covering chapters 6.1, 6.2, 6.3.1-3, 7.1, 7.2, 7.3, 7.4.1-7.4.2, 8.1, 8.2.1, 9.4, 10.1, 10.2.1, 10.2.2, 10.2.3, 10.3, 10.4.1, 10.5.3, 10.6.1 and 10.6.2 from the text.


A tentative schedule can be found here.


News

Please check the course website regularly for announcements.


(Mar 9) Information about the final exam has been posted. Problem set 7 is posted below.


(Mar 2) Problem set 6 is posted below.


(Feb 27) Midterm 2 solutions have been posted below.


(Feb 24) My office hours next week (Feb 27 - Mar 2) will be Monday 9:00-9:50, Wednesday 9:00-9:50 and Wednesday 11:00-11:50.


(Feb 24) Problem set 5 is posted below. Please note that there was a typo in the syllabus: we will be covering 10.2.2 not 10.2.3.


(Feb 17) Information for Midterm 2 has been posted below. My office hours next week (Feb 20 - Feb 24) will be Wednesday 9:00-9:50, Wednesday 11:00-11:50, and Friday 11:00-11:50. Problem set 5 will be posted next Friday (Feb 24).


(Feb 10) Problem set 4 is posted below.


(Feb 2) Problem set 3 is posted below. Midterm 1 marks have been posted and solutions can be found below.


(Jan 27) Problem set 2 is posted below.


(Jan 23) Information for Midterm 1 has been posted below. My office hours next week (Jan 30 - Feb 3) will be Thursday, 9:00-9:50 and Friday, 11:00-12:50. Problem set 2 will be posted this Friday (Jan 27).


(Jan 13) Problem set 1 is posted below.

Calendar

(Jan 16) No lecture (Martin Luther King, Jr. Day)

(Jan 20) Problem Set 1 Due

(Jan 30) Midterm 1

(Feb 3) Problem Set 2 Due

(Feb 10) Problem Set 3 Due

(Feb 17) Problem Set 4 Due

(Feb 20) No lecture (Presidents' Day)

(Feb 27) Midterm 2

(Mar 2) Problem Set 5 Due

(Mar 9) Problem Set 6 Due

(Mar 16) Problem Set 7 Due

(Mar 23) Final Exam

Grading Policy

Your final grade will be computed using the higher of the following two schemes. Final grades are subject to scaling. There will be no make-up midterms and no marks for late problem sets. The lowest problem set mark will be dropped.


If you will miss a midterm for any reason, please see me as soon as possible. Any requests for regrading must be within two weeks after the midterms or problem sets are returned.

Scheme 1

Homework 10%
Midterms 20% each midterm
Final Exam 50%

Scheme 2

Homework 10%
Midterms 30% for best midterm
Final Exam 60%

All course grades will be available online at my.ucla.edu. Note that the due dates and number of problem sets are tentative.

Exams

Both midterm exams will take place during regular class time in the regular classroom. No calculators, books, notes or formula sheets will be allowed. The questions will be similar to the problems in the textbook. You will not be asked to reproduce proofs from the text.

Midterm 1 - January 30

Midterm 1 Solutions


You will be responsible for the following material from the text:

You do not need to memorize formula 6.1, but you should know the arithmetic series formula from Example 6.1.3. We will not be covering section 6.3.4 or 6.3.5.

Midterm 2 - February 27

Midterm 2 Solutions


All of the material from the midterm 1 may be on midterm 2. However, the focus will be on the following material from the text:

You do not need to memorize the solutions to the various differential equations in section 8.1. However, you are responsible for being able to find their solutions.

Final Exam - March 23

The final exam is cumulative: all material from the course will be tested. All concepts in the course will be (roughly) evenly represented. In addition to the material from the midterms, the following will be tested on the exam:

You do not need to sketch 3D graphs, however you are responsible for interpreting them. You do not need to read "A Sufficient Condition Based on Eigenvalues" from page 550-555.

Problem Sets

There will be a new problem set approximately every week, except when there is a midterm.


Problem Set 1 due Friday, January 20
6.1: 10, 18, 22, 28, 31, 35, 46, 48, 62, 65
6.2: 3, 4, 10, 42, 46
Problem Set 2 due Friday, February 3
7.1: 12, 20, 28, 36, 49, 56
7.2: 2, 10, 15, 20, 34, 44, 47, 54, 62, 66
Problem Set 3 due Friday, February 10
7.3: 1, 4, 6, 10, 16, 20, 24, 34, 44, 52
Problem Set 4 due Friday, February 17
7.4: 4, 8, 14, 18, 22, 26, 30
8.1: 4, 8, 14, 34, 46, 50
Problem Set 5 due Friday, March 2
9.4: 14, 24, 30, 40, 60
10.1: 6, 12, 14, 18
10.2: 12, 16, 20, 22
Problem Set 6 due Friday, March 9
10.3: 6, 10, 16, 22, 30, 34, 42, 46
10.4: 4, 8, 10, 14, 22, 26, 28
Problem Set 7 due Friday, March 16
10.5: 20, 34, 38, 40
10.6: 4, 8, 10, 14, 16, 20, 24
Note: We did not learn about the Hessian matrix. Use the theorem on page 548, instead.

The lowest problem set grade will be dropped. Problem sets should be handed in at the beginning of lecture or it will be considered late. Late assignments will be given a mark of 0. If you suspect that you are unable to hand in a problem set on time in lecture, please let me know so we can make alternate arrangements. Any requests for regrading must be within two weeks after the problem set is returned.


Collaboration is strongly encouraged. Your fellow students are the most valuable resource at this university. However, please be sure that you hand in your own work.

Presentation

Do not hand in your first draft. All problem sets should follow the following presentation guidelines.

Significant deviation from these guidelines will result in a penalty.